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Finding the Fourth Proportional to 303.04, 417.76 and 298.92

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Solution

The fourth proportional to 303.04, 417.76 and 298.92 is: 412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.04 : 417.76 = 298.92 : x
  2. Step 2: Convert to fraction form
    303.04/417.76 = 298.92/x
  3. Step 3: Cross multiply
    303.04x = 417.76 × 298.92
  4. Step 4: Simplify right side
    303.04x = 124,876.82
  5. Step 5: Solve for x
    x = 124,876.82/303.04
  6. Step 6: Final answer
    x = 412.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.